A218555 Order of (7,n) cage, i.e., minimal order of 7-regular graph of girth n.

8, 14, 50, 90

Offset

3,1

Comments

a(8) <= 658, a(12) <= 32928. - Jason Kimberley, Dec 29 2012

Links

Table of n, a(n) for n=3..6.

Andries E. Brouwer, Cages

G. Exoo, Regular graphs of given degree and girth

G. Exoo and R. Jajcay, Dynamic cage survey, Electr. J. Combin. (2008, 2011).

Gordon Royle, Cages of higher valency

Eric Weisstein's World of Mathematics, Cage Graph (claims too much)

Formula

a(n) >= A198307(n).

Crossrefs

Orders of cages: A054760 (n,k), A000066 (3,n), A037233 (4,n), A218553 (5,n), A218554 (6,n), this sequence (7,n), A191595 (n,5).

Sequence in context: A009453 A332658 A198307 * A268160 A236553 A050582

Adjacent sequences: A218552 A218553 A218554 * A218556 A218557 A218558

Keyword

hard,more,nonn

Author

Arkadiusz Wesolowski, Nov 02 2012

Extensions

Edited by Jason Kimberley, Dec 21 2012

Status

approved